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The Geometry of (t mod q)-arcs

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00007762
URN to cite this document: urn:nbn:de:bvb:703-epub-7762-8

Title data

Kurz, Sascha ; Landjev, Ivan ; Pavese, Francesco ; Rousseva, Assia:
The Geometry of (t mod q)-arcs.
In: Designs, codes and cryptography. (14 November 2023) .
ISSN 1573-7586
DOI der Verlagsversion: https://doi.org/10.1007/s10623-023-01290-w

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Abstract

In this paper, we give a geometric construction of the three strong non-lifted (3 mod 5)-arcs in PG(3,5) of respective sizes 128, 143, and 168, and construct an infinite family of non-lifted, strong (t mod q)-arcs in PG(r,q) with t=(q+1)/2 for all r≥3 and all odd prime powers q.

Further data

Item Type: Article in a journal
Keywords: (t mod q)-arcs; linear codes; quadrics; caps; quasidivisible arcs; sets of type (m,n)
Subject classification: Mathematics Subject Classification Code: 51E22 (51E21 94B05)
DDC Subjects: 000 Computer Science, information, general works > 004 Computer science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-7762-8
Date Deposited: 01 Jul 2024 12:11
Last Modified: 01 Jul 2024 12:21
URI: https://epub.uni-bayreuth.de/id/eprint/7762

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